GCD of 642, 540, 132, 345 Calculator

Given Input numbers are 642, 540, 132, 345

In the factoring method, we have to find the divisors of all numbers

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (642, 540, 132, 345) = 3.

Given numbers are 642, 540, 132, 345

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 642, 540, 132, 345 is 3.

Given numbers are 642, 540, 132, 345

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(642, 540) = 57780

GCD(642, 540) = ( 642 x 540 ) / 57780

= 642 / 540

= 642

Step2:

LCM(6, 132) = 132

GCD(6, 132) = ( 6 x 132 ) / 132

= 6 / 132

= 6

Step3:

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

= 6 / 345

= 6

So, Greatest Common Divisor of 642, 540, 132, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 431, 661, 490
• GCD of 256, 704, 200, 251
• GCD of 334, 576, 711, 726
• GCD of 867, 726, 286, 479
• GCD of 357, 219, 807, 689

Given numbers are 642, 540, 132, 345
The greatest common divisor of numbers 642, 540, 132, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 540, 132, 345 is 3.

1. What is the GCD of 642, 540, 132, 345?

GCD of given numbers 642, 540, 132, 345 is 3

2. How to calculate the greatest common divisor of 642, 540, 132, 345?

We can find the highest common divisor of 642, 540, 132, 345 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 642, 540, 132, 345 i.e 3.

3. How can I use the GCD of 642, 540, 132, 345Calculator?

Out the numbers 642, 540, 132, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.